Answer:
0 and 1
Step-by-step explanation:
x² = 3
take the square root of both sides
x = {-√3, √3}
x ≈ {-1.73, 1.75}
Two consecutive integers between 1.73 and 1.75
0 and 1
Answer:
scalene
Step-by-step explanation:
Since none of the sides are equal, the triangle is a scalene triangle
Isosceles would have 2 sides equal
Equilateral would have all 3 sides equal
Answer:
97.98
Step-by-step explanation:
The area of the parallelogram PQR is the magnitude of the cross product of any two adjacent sides. Using PQ and PS as the adjacent sides;
Area of the parallelogram = |PQ×PS|
PQ = Q-P and PS = S-P
Given P(0,0,0), Q(4,-5,3), R(4,-7,1), S(8,-12,4)
PQ = (4,-5,3) - (0,0,0)
PQ = (4,-5,3)
Also, PS = S-P
PS = (8,-12,4)-(0,0,0)
PS = (8,-12,4)
Taking the cross product of both vectors i.e PQ×PS
(4,5,-3)×(8,-12,4)
PQ×PS = (20-36)i - (16-(-24))j + (-48-40)k
PQ×PS = -16i - 40j -88k
|PQ×PS| = √(-16)²+(-40)²+(-88)²
|PQ×PS| = √256+1600+7744
|PQ×PS| = √9600
|PQ×PS| ≈ 97.98
Hence the area of the parallelogram is 97.98
Answer:
Minimum - 8.1 inches
Maximum - 8.35 inches
Step-by-step explanation:
The specifications for manufacturing a steel rod stipulate that the length must be 8.225 ± 0.125 inches.
This means that the minimum length must not be 0.125 inches less than 8.225 inches and the maximum length must not be 0.125 inches greater than 8.225 inches.
The minimum length is therefore:
8.225 - 0.125 = 8.1 inches
The maximum length is therefore:
8.225 + 0.125 = 8.35 inches
Circumference of a circle = 2πr
So,
